After 150 hours of playing Monk, 100+ of which I spent on Inferno, I've cleared out all 4 act bosses including Diablo on inferno. Currently I am farming Act 3 and Whimsyshire with 5 stacks of nephalem valor.

Reasoning: Whoever heard of a monk using a shield? Unfortunately, a shield is what you will need to survive for Inferno. The shield will provide you with extra sustainability with it's resistance, armor, and block, on top of dex and vitality. A shield is also one of the few pieces that you can possibly get % life on, which helps boost your total hp tremendously. For weapons, life on hit is another must for you to remain in battle. Life steal is not an alternative option due to the Diablo 3 game mechanics, all life steal amounts are reduced by 80% on Inferno.

Stack a single resistance in order to capitalize with the Passive, "One with everything." Next, dexterity not only adds damage, but also increases the chance of evasion. Lastly, vitality and life % is used to boost hp.

For you to prioritize which stat, you will have to look at your current character stats and point out to the area where you could use the most improvement. Your goal should be creating a character with the most effective HP and sustainability in a fight. If you have 900 resist but 15k hp, you should recognize that another 100 vitality may be more worthwhile than 20, or even 50 extra resist.

Keep in mind that both resistance and armor are deminishing return, I had around 900 unbuffed resistance but 30k hp. The difference between 900 and 500 resistance is not enough to compensate another 40k hp. Be smart about what stats you are upgrading.

Breath of Heaven heal does not scale with your max hp, it heals a constant 7k which is roughly 10% of my total hp, thus I opted not to use it, though I do miss the 15% damage increase from the blazing wrath rune.

Last words: This build is not the only way to be successful with the Monk. People may come up with many builds that may work in solo play in order to help them run through the level while dying hundreds of times in inferno. However, this is what I found to be currently the most effective build for my monk with my specific gear setup. In the future, I will be thriving to make a dual wield monk with enough effective hp to survive on act 4 elites.

If you have any questions, post them here and I'll try to answer them. If you have any suggestions, I will either agree with you or respectfully disagree and provide my take on it.